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Simplifying 10(7 + -9n) + -1(4n + -5) + 7(6n + -12) = 0 (7 * 10 + -9n * 10) + -1(4n + -5) + 7(6n + -12) = 0 (70 + -90n) + -1(4n + -5) + 7(6n + -12) = 0 Reorder the terms: 70 + -90n + -1(-5 + 4n) + 7(6n + -12) = 0 70 + -90n + (-5 * -1 + 4n * -1) + 7(6n + -12) = 0 70 + -90n + (5 + -4n) + 7(6n + -12) = 0 Reorder the terms: 70 + -90n + 5 + -4n + 7(-12 + 6n) = 0 70 + -90n + 5 + -4n + (-12 * 7 + 6n * 7) = 0 70 + -90n + 5 + -4n + (-84 + 42n) = 0 Reorder the terms: 70 + 5 + -84 + -90n + -4n + 42n = 0 Combine like terms: 70 + 5 = 75 75 + -84 + -90n + -4n + 42n = 0 Combine like terms: 75 + -84 = -9 -9 + -90n + -4n + 42n = 0 Combine like terms: -90n + -4n = -94n -9 + -94n + 42n = 0 Combine like terms: -94n + 42n = -52n -9 + -52n = 0 Solving -9 + -52n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -52n = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -52n = 0 + 9 -52n = 0 + 9 Combine like terms: 0 + 9 = 9 -52n = 9 Divide each side by '-52'. n = -0.1730769231 Simplifying n = -0.1730769231
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